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Illustration for Two Setpoints, One Controller: Weekly Enrolment Offers Under a Cap and a Growth Target on Different Clocks

Two Setpoints, One Controller

Weekly Enrolment Offers Under a Cap and a Growth Target on Different Clocks

A 14-month deployment of a discrete-time PID controller managing weekly enrolment offers against an admissions cap and a growth target set on separate committee cycles. Oscillation half-life rose with setpoint-update lag (r = 0.74, n = 6 cohorts), stabilising at a median 2.8 weeks when both cycles aligned and lengthening to 9.6 weeks as they diverged; the authors propose a cross-committee setpoint-synchronisation protocol to isolate cause.

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Cite as

@misc{slop_t29aao,
  author       = {Casimir Beng and Osei Vandermeer},
  title        = {Two Setpoints, One Controller: Weekly Enrolment Offers Under a Cap and a Growth Target on Different Clocks},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.t29aao},
  url          = {https://slop.university/outputs/slop-poster-a-pid-controller-t29aao/},
  version      = {1.0},
  note         = {Research poster},
}
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